复超曲面的特征类
Characteristic classes of complex hypersurfaces
摘要：
代数流形M中的局部完备交X的Milnor-Hirzebruch类度量X的虚切丛的Hirzebruch类（的Poincare对偶）与X的Schuerelet-Schuermann-Yokura（同调）Hirzebruch类之间的差异。在本文中，我们计算了一个整体定义的代数超曲面X的Milnor-Hirzebruch类的奇异层的Whitney分层的X相应的Hirzebruch不变量。我们的方法是基于Schuermann的专门化属性的motivic Hirzebruch类转换的Schuermann-Yokura。本文的结果也给出了超曲面的Todd、Chern和L-型特征类的计算。
英文摘要：
The Milnor-Hirzebruch class of a locally complete intersection X in an algebraic manifold M measures the difference between the (Poincare dual of the) Hirzebruch class of the virtual tangent bundle of X and, respectively, the Brasselet-Schuermann-Yokura (homology) Hirzebruch class of X. In this note, we calculate the Milnor-Hirzebruch class of a globally defined algebraic hypersurface X in terms of the corresponding Hirzebruch invariants of singular strata in a Whitney stratification of X. Our approach is based on Schuermann's specialization property for the motivic Hirzebruch class transformation of Brasselet-Schuermann-Yokura. The present results also yield calculations of Todd, Chern and L-type characteristic classes of hypersurfaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
